German submarine U-537 was a Type IXC/40 U-boat of the German Kriegsmarine built for service during World War II. Her keel was laid down on 10 April 1942 by Deutsche Werft in Hamburg. She was commissioned on 27 January 1943 with Kapitänleutnant Peter Schrewe in command. Schrewe commanded the boat for nearly two years, until her loss.